Global Aspects of Abelian and Center Projections in SU(2) Gauge Theory

Abstract

We show that the global aspects of Abelian and center projection of a SU(2) gauge theory on an arbitrary manifold are naturally described in terms of smooth Deligne cohomology. This is achieved through the introduction of a novel type of differential topological structure, called Cho structure. Half integral monopole charges appear naturally in this framework.

Comments: 43 pages, no figures, requires AMS font files AMSSYM.DEF and amssym.tex. Completely rewritten, corrected and streamlined version